We prove the existence of nontrivial multiparameter isospectral deformations of metrics on the classical compact simple Lie groups SO (n) (n = 9, n ≥11), Spin(n) (n = 9, n ≥11), SU (n) (n ≥7), and Sp (n) (n ≥5). The proof breaks into three...
In this thesis, we consider several problems relating to cyclic subgroups of the group [mathematical equation]. Each element of [mathematical equation] has a unique representative in one of the two intervals [mathematical equation] and...
This project focuses on the development of research tools and methods that are used to study the relationship between neural activity and subsequent hemodynamic responses in the human brain. This relationship, referred to as neurovascular coupling,...
The accelerated expansion of space in the Universe has been known for two decades. However, finding a plausible theory that describes this expansion is more difficult: Taking general relativity for granted requires us to stipulate the existence of...
Toxoplasma gondii is an obligate intracellular pathogen that is able to survive in a range of hosts due to its repertoire of secreted effector proteins. Utilizing the type I and type II Δku80 strains we engineered a collection of targeted knockout...
This thesis reports work on a new device to detect changes in spatially nonuniform intensity distributions, and shows how this device can be applied to the particular problem of optical vibration detection. The phase of optical radiation is very...
Computer generated 3-D images are proving useful in a wide variety of applications including data visualization, computer animation, virtual reality, telepresence and terrain generation. High-end applications in these fields require images to be...
Two alloys, Fe 55 Mn 19 Al 26 and Fe 30 Ni 20 Mn 35 Al 15 , were studied in this research project. The yield stress anomaly (YSA) of Fe 55 Mn 19 Al 26 single crystal was observed with a yield stress peak at 700 K. In situ TEM straining revealed...
A yearly breast contrast-MR scan is recommended to high-risk women because of MR's high sensitivity to breast tumors. However, breast contrast-MR yields a high number of false positives that lead to expensive and sometimes unnecessary biopsy...
Thermodynamics, and the classic balance between entropy and enthalpy, provides a proverbial zoo of exotic phase behaviour that chemists can harness to create new materials out of simple liquids and polymers. The diversity of self-assembling...
As methicillin-resistant Staphylococcus aureus (MRSA) hospitalizations keep increasing, the understanding of the characteristics that make one isolate more successful over another is paramount. Strain variations among Staphylococcus aureus observed...
We begin with a result on the refocussing of null geodesics in space-times. We show that all oriented refocussing 2-dimensional Lorentz manifolds are also strongly refocussing. We also introduce a theory of virtual Legendrian knots. We show that...
This thesis contains material relating to two separate subjects. The first section determines when the C*-algebra affiliated to a directed graph has continuous trace. We use groupoid methods and the focus is on producing conditions on a graph that...
This thesis constitutes the first steps in the author's program to investigate the question of when a homotopy of 2-cocycles ω = {ω[subscript t]}[subscript t∊[0,1]] on a locally compact Hausdorff groupoid Ɠ induces an isomorphism of the...
The focus of this thesis is the study of nuclearity and exactness for groupoid crossed product C*-algebras. In particular, we present generalizations of two well-known facts from group dynamical systems and crossed products to the groupoid setting....
In this thesis, we characterize and enumerate the permutations which are realized by the orbits of signed shifts, a family of discrete dynamical systems on words. The permutations, which are called patterns of the signed shifts, are given by the...
Candida albicans is a fungal species that naturally exists as a commensal member of the human microbiota, but can assume a pathogenic lifestyle and subsequently induce life-threatening systemic infections. The ability of the fungus to grow in...
Visual searches for a conjunction of features (e.g., a particular combination of color and shape) are ordinarily slow and difficult. However, search efficiency for a particular conjunction can improve dramatically within a few hundred practice...
For many scientific applications, the data set cannot entirely fit in main memory. The data must reside out-of-core, i.e., on parallel disks. For many basic data-movement operations such as permuting, if the programmer does not design efficient...